FLC OF AN MLG DECLARED AN EMER DUE TO DEV FROM ASSIGNED HDG FOR SEVERE WX.

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AT CRUISE FL330; FLYING A 180 DEG HDG FOR WX; CTR ASSIGNED A 140 DEG HDG. WE ADVISED WE COULD ONLY FLY IT FOR A VERY SHORT TIME AND CTR ACKNOWLEDGED. WHEN WE TOLD CTR WE NEEDED TO TURN BACK S; CTR SAID A R TURN WAS NOT AVAILABLE AND THAT WE COULD TURN E. THAT OPTION WAS NOT AVAILABLE TO US DUE TO SEVERE WX E THROUGH S. WE WERE RAPIDLY APCHING THE EDGE OF A LEVEL G CELL IN THE LINE OF WX AND I HAD NO CHOICE BUT TO DECLARE AN EMER AND INFORM CTR THAT WE WERE TURNED TO A 220 DEG HDG TO AVOID THE WX. ZMA TOLD US OF TFC IN THAT DIRECTION. WE HAD THE TFC ON TCASII AND IT PASSED WELL OFF OUR R BY 12-15 MI. DIDN'T SEEM TO BE MUCH OF A PROB TO US. AFTER WE DECLARED THE EMER; CTR SEEMED RELIEVED AND SAID THAT THERE WAS A LOT OF TFC DEV HERE BECAUSE OF THE SEVERE WX. THIS ALL AROSE BECAUSE I DIDN'T CLRLY STATE HOW SHORT OF A DISTANCE WE COULD FLY BY ACCEPTING A CLRNC THAT I SHOULD NOT HAVE ACCEPTED IN THE FIRST PLACE AND BECAUSE OF ATC'S FEAR OF SETTING OFF THE SNITCH SYS AND DISCIPLINE THAT IT WILL BRING IF 2 AIRPLANES ARE ANYWHERE NEAR EACH OTHER.